Foe the AP given by a1,a2,......,an,...with non zero common difference, the equation satisfied are

Answer:

Range: [-2, 2] {y | -2 ≤ y ≤ 2}

Step-by-step explanation:

The given function is y = 2sinx

We have to find the range of the given function.

Since at y-axis sine function has the variance between -1 to 1 so range of y = sinx is [-1, 1]

and if the amplitude of sine function is 2 then sine function will vary from -2 to 2 which implies that range of y = 2 sinx will be [-2, 2]

So range of y = 2sinx is [-2, 2]

The range of the function y=2sin x is mathematically given as

dy=(-2,2)

Question Parameter(s):

function y=2sin x

Generally, the equation for the wave is mathematically given as

[tex]y(x,t)=Asin(kx−wt+\phi)[/tex]

Therefore, Comparing both equations

y(x,t)=Asin(kx−wt+\phi)

y=2sin x

We have

A=2

In conclusion, The range of a function y=2sin x is simply defined as the probable outcomes, with x values as independent factors.

Hence, with sinx having min and max values at (-1,1)

The y value range will be

dy=(2(-1),2(1))

dy=(-2,2)

Read more about  Wave

https://brainly.com/question/23271222

The population density in the country increased at a rate of about 0.53 persons per square mile each year between 2006 and 2014, demonstrating a linear relationship.

You are looking at a linear relationship between years and population density in a particular country. Years are represented by 'x' and persons per square mile are represented by 'y'. To find the relationship, we need to identify the slope of the line, which represents the rate of change in population density per year.

To find the slope, we subtract the y-values and divide by the change in x-values: (85.24 - 81) / (2014 - 2006) = 0.53 persons per square mile per year.

This tells us that, on average, the population density in this country increased by about 0.53 persons per square mile each year between 2006 and 2014.

https://brainly.com/question/15070768

#SPJ12

The population density of the country increased at a linear rate of around 0.53 persons per square mile each year between 2006 and 2014.

In this problem, we are dealing with a linear relationship between years(x) and persons per square mile(y). Here, we need to find the slope of the line to understand the rate at which the population density is increasing per year. The slope of a line in a linear relationship is given by the formula slope = (y2 - y1) / (x2 - x1). Here, (x1, y1) refers to the year and population density in 2006 which are (2006, 81) respectively, and (x2, y2) refer to the year and population density in 2014 which are (2014, 85.24) respectively.

Substitute these values into the formula:

Slope = (85.24 - 81) / (2014 - 2006)= 0.53 (approx).

So, the population density increase was about 0.53 persons per square mile per year between 2006 and 2014.

https://brainly.com/question/15070768

#SPJ12

we have

[tex]f(x)=x^{3}[/tex]

we know that

The point [tex](0,0)[/tex] in the graph of f(x) is the point [tex](3,2)[/tex] in the translated graph

so

The rule of the translation is

[tex](x,y)----> (x+3,y+2)[/tex]

That means

The translation is [tex]3[/tex] units to the right and [tex]2[/tex] units up

The equation of the translated graph is equal to

[tex]f(x)=(x-3)^{3}+2[/tex]

therefore

The answer is

the value of k is equal to

[tex]k=2[/tex]

see the attached figure to better understand the problem

Answer:

k=2

Step-by-step explanation:

I just did the assignment

Answer:

Step-by-step explanation:

The length of the field will be calculated as:

P=2(L+W)

P=376

W=89

thus substituting the values in the equation we get;

376=2(L+89)

376/2=(L+89)

solving for L;

188=L+89

L=188-89

L=99 yards

therefore the length is 99 yards

Answer:

right triangle.

Step-by-step explanation:

The given length of the three sides of the triangle are

[tex]2,\sqrt{11},\sqrt{15}[/tex]

We will now check whether these three numbers are Pythagorean triple or not. If it is a Pythagorean triple then the triangle will be a right triangle.

Pythagorean triple:- If the sum of square of any two sides is equal to the square of the third side then the lengths are Pythagorean triple and the triangle is a right triangle.

Now, we do the below operation:

[tex]2^2+(\sqrt{11})^2\\\\=4+11\\\\=15[/tex]

Now, let us square the third side

[tex](\sqrt{15})^2\\\\=15[/tex]

Since, we got both values equal. Hence, the length of sides are Pythagorean triple.

And therefore, the triangle is right triangle.

Answer: 6:5

Step-by-step explanation:

Given: The total number of games played by raptors = 11

The number of games lost by them = 5

Then, the number of wins = 11-5=6

We know that the ratio of A to B is given by :-

[tex]A:B[/tex]

Similarly, the ratio of wins to losses for the raptors is given by :-

[tex]\text{Number of wins: Number of losses}\\\\=6:5[/tex]

Hence, the  ratio of wins to losses for the raptors = 6:5

Answer:

B

Step-by-step explanation:

To represent the elevations at which Aimee should fly her plane, the inequality h ≥ 500 is used, where h represents Aimee's elevation in meters. This indicates that Aimee must fly at an elevation of 500 meters or higher, as per the air traffic controller's instructions.

The question asks for an inequality that represents elevations at which Aimee should fly her plane, according to the instructions given by the air traffic controller. Aimee is told to fly at 500 meters above the ground or higher. To write this inequality, we let h represent the elevation (in meters) at which Aimee should fly. Therefore, the inequality that only allows for elevations 500 meters or higher is: h ≥ 500.

This inequality means that Aimee's elevation, h, should be greater than or equal to 500 meters. This is a simple linear inequality in one variable, which is a fundamental concept in algebra. Understanding how to represent real-world scenarios with inequalities is crucial in solving problems related to constraints and conditions that have a range of possible values.

the starting amount would be the 550, because it doesn't have a variable assigned to it.

 change per week is 20 since it is being multiplied by the number of weeks

The starting amount of money in the account was $550

The change per week in the amount of money in the account per week is  by $20.

We have a equation - 20x+550=y

where -

x represent the number of weeks Keiko has been adding money and y represent the total amount of money in the account (in dollars).

We have to determine -

1). What was the starting amount of money in the account.

2). What is the change per week in the amount of money in the account.

The general equation of a straight line is as follows -

y = mx + c

where -

m - slope of line

c - intercept of line on y - axis.

According to question, we have -

20x+550=y

Rearranging the equation, we get -

y = 20x + 550, which is a equation of straight line with slope = 20.

Now, in order to calculate the starting amount of money in the account, put x = 0 above, we get -

y = 20 x 0 + 550 = $550

Money in the account during week 1 = M(1) = 20 x 1 + 550 = $570

Money in the account during week 2 = M(2) = 20 x 2 + 550 = $590

Change per week in the amount of money in the account = M(2) - M(1) = $590 - $570 = $20

Hence,

The starting amount of money in the account was $550

The change per week in the amount of money in the account per week is by $20.

To solve more questions on Word problems in Linear equations , visit the link below -

https://brainly.com/question/17213039

#SPJ2

Answer:

(a) 0.0225

(b) 0.225

Step-by-step explanation:

It is given that 15% of total population is allergic to pollenallergic to pollen.

Thus, Probability of an individual s/he has allergy is 0.15

Thus, The probability that two person is selected and both has allergy is 0.15 × 0.15 = 0.0225

And the Probability that at least one person is suffered from allergy from that two person = P(allergic and non-allergic) + P(non-allergic and allergic)

⇒ 0.15 × (1 - 0.15) + (1 - 0.15) × 0.15

⇒ 0.15 × 0.85 + 0.85 × 0.15 = 0.225

Answer:

The answer is 9.8*10^8

i think

Step-by-step explanation:

Answer:

The correct option is d.

Step-by-step explanation:

Domain is the set of all possible inputs or the values of x and the range is value of output or y.

In option a,

The given function is

{(−2,−5),(8,10),(0,6),(−2,−9),(0,2)}

Domain = {-2,0,8}

Range = {-9,-5,2,6,10}

Therefore option a is incorrect.

In option b,

The given function is

{(−9,10),(−2,8)}

Domain = {-9,-2}

Range = {8,10}

Therefore option b is incorrect.

In option c,

The given function is

{(−9,−2),(−5,0),(2,8),(6,5),(10,9)}

Domain = {-9,-5,2,6,10}

Range = {-2,0,5,8,9}

Therefore option c is incorrect.

In option d,

The given function is

{(2,0),(−5,−2),(10,8),(6,0),(−9,−2)}

Domain = {-9,-5,2,6,10}

Range = {-2,0,8}

Therefore option d is correct.

Answer: 4 HOURS AND 10 MINUTES

Step-by-step explanation:

1 HOUR IS 60 MINUTES.

60X4=240 MINUTES

240 MINUTES+10 MINUTES=250 MINUTES

250 MINUTES=4 HOURS AND 10 MINUTES.

The time elapsed during the trip is 4 hours 10 minutes.

Given that,
The plane left Atlanta at 11:30 a.m. and flew to an airport near Boston.
The plane was due at Boston at 3:15 p.m.

In mathematics, it deals with numbers of operations according to the statements.

Since A plane takes off from Atlanta at 11:30 a.m. and landed at Boston airport at 25 minutes later than the actual time of arrival.
The time of arrival was 3:15 PM but because of the delay, at 3:40 the plane landed at Boston airport. For 3:40 pm we have 15:40 on a 24-hour clock. So,
The time elapsed  = 15:40 - 11:30
                            =  4 : 10
Implies 4 hours 10 minutes

Thus, the time elapsed during the trip is 4 hours 10 minutes.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

To break even, Bret would need to make and sell 40 necklaces, with a total expense of $15,760 and total sales of $400.

To determine the number of necklaces Bret needs to make and sell to break even, we need to consider his initial investment and the expenses and sales associated with each necklace.

First, let's calculate the total expenses for each necklace: $7 (materials cost) + $387 (initial investment) = $394.

Next, let's calculate the total sales for each necklace: $10 (selling price).

To break even, the total expenses and total sales need to be equal.

Let n represent the number of necklaces:

Total expenses = $394 * n

Total sales = $10 * n

Setting the two equations equal to each other, we have: $394 * n = $10 * n.

Now, let's solve for n:

$394 * n = $10 * n

$394 = $10

n = 394 / 10

n = 39.4

Since we cannot sell a fraction of a necklace, Bret would need to make and sell 40 necklaces to break even.

The total expenses for 40 necklaces would be $394 * 40 = $15,760, and the total sales would be $10 * 40 = $400.

Answer:

2-3i

Step-by-step explanation: